Coincidence points in θ - metric spaceS

Maha Mousa; Salwa  Salman Abed

doi:10.24297/jam.v20i.8929

Authors

Maha Mousa Ministry of Education, School Shamsalmarifa, Baghdad, Iraq.
Salwa Salman Abed Department of mathematics, College of Education for pure science Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq.

DOI:

https://doi.org/10.24297/jam.v20i.8929

Keywords:

coincidence points., non-commuting mappings, Generalized metric space

Abstract

In this paper, inspired by the concept of metric space, two fixed point theorems for α−set-valued mapping T:₳ → CB(₳), h θ (Tp,Tq) ≤ α(dθ(p,q)) dθ(p,q), where α: (0,∞) → (0, 1] such that α(r) < 1, ∀ t ∈ [0,∞) ) are given in complete θ −metric and then extended for two mappings with R-weakly commuting property to obtain a common coincidence point.

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